Osculating Spaces
Keyword(s):
In this paper an attempt is made to prove some of the basic theorems on the osculating spaces of a curve under minimum assumptions. The natural approach seems to be the projective one. A duality yields the corresponding results for the characteristic spaces of a family of hyperplanes. A duality theorem for such a family and its characteristic curve also is proved. Finally the results are applied to osculating hyperspheres of curves in a conformai space.The analytical tools are collected in the first three sections. Some of them may be of independent interest.
1991 ◽
Vol 49
◽
pp. 452-453
Keyword(s):
1997 ◽
Vol 78
(02)
◽
pp. 794-798
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2017 ◽
Vol 47
(188)
◽
pp. 453-470
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Keyword(s):
1998 ◽
Vol 38
(4)
◽
pp. 723
2020 ◽
1985 ◽
Vol 41
(3)
◽
pp. 461-479
◽